To find out what proportion of dogs are given heartworm medication, we survey 50

Question

To find out what proportion of dogs are given heartworm medication, we survey 50 dog owners by telephone each night for a period of 20 nights. From the data collected, twenty different sample proportions and 95 percent confidence intervals (one for each night's sample) were computed 1) Would expect all 20 confidence intervals to contain the true value of the population proportion? NO YES Tries 0/1 2) Do all 20 of the confidence intervals have the same length? Yes No Tries 0/1 3) Suppose you calculated 90% confidence intervals instead of 95% confidence intervals, would they be narrower or wider? Wider Tries 0/1 the 90% confidence inter als constructed using n- o 4 suppose you surveyed 100 dog owners by telephone each night instead of 50 would the width constructed using n=50 ? e na ro er or wider han the %confidence intervals Narrower Wider Tries 0/1 5) what about 99% confidence intervals-for the same sample size, would they be narrower or wider than 95% confidence intervals ? Narrower Wider Tries 0/1

Explanation / Answer

1) Since we have a 95% confidence interval we do not expect all 20 samples to contain the true value of the populatin proportion.Hence No

2) All 20 cannot have the same lenght since all are samples and there will be variation in the samples.Hence No

3) Aas the confidence level increases the confidence interval increases and vice versa

Hence as we move from 95% to 90% the interval becomes narrower

4)As sample size increaes from 50 to 100 we become more confident onn the results

Hence the confidence interval becomes narrower

5) At 99% confidence interval it would become wider than 95% confidence interval

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